Green's Functions for Solid State Physicists

Green's Functions for Solid State Physicists

by S. Doniach, E. H. Sondheimer
     
 

ISBN-10: 1860940803

ISBN-13: 9781860940804

Pub. Date: 06/28/1998

Publisher: Imperial College Press

This book shows how the analytic properties in the complex energy plane of the Green's functions of many particle systems account for the physical effects (level shifts, damping, instabilities) characteristic of interacting systems. It concentrates on general physical principles and, while it does not discuss experiments in detail, includes introductions to…  See more details below

Overview

This book shows how the analytic properties in the complex energy plane of the Green's functions of many particle systems account for the physical effects (level shifts, damping, instabilities) characteristic of interacting systems. It concentrates on general physical principles and, while it does not discuss experiments in detail, includes introductions to topics of current research interest, such as singularities (X-ray, Kondo) associated with transient perturbations in an electron gas, the Mott metal–insulator transition in correlated electron systems, and the phenomenon of high Tc superconductivity.This invaluable book grew out of a course of graduate lectures given by S Doniach at the University of London. It will appeal to beginning graduate students in theoretical solid state physics as an introduction to more comprehensive or more specialized texts and also to experimentalists who would like a quick view of the subject. A basic knowledge of solid state physics and quantum mechanics at graduate level is assumed.

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Product Details

ISBN-13:
9781860940804
Publisher:
Imperial College Press
Publication date:
06/28/1998
Edition description:
Revised
Pages:
336
Product dimensions:
4.82(w) x 8.68(h) x 0.78(d)

Table of Contents

Preface to the Imperial College Press Edition
Preface
Introduction: The Theory of Condensed Matter
Ch. 1Lattice Dynamics in the Harmonic Approximation1
Ch. 2Lattice Dynamics at Finite Temperatures29
Ch. 3The Feynman-Dyson Expansion45
Ch. 4The Scattering of Fermions by a Localized Perturbation68
Ch. 5Electrons in the Presence of Many Impurities - the Theory of Electrical Resistance in Metals96
Ch. 6The Interacting Electron Gas123
Ch. 7The Magnetic Instability of the Interacting Electron Gas157
Ch. 8Interacting Electrons in the Atomic Limit184
Ch. 9Transient Response of the Fermi GAS - The X-Ray and Kondo Problems198
Ch. 10Superconductivity220
Ch. 11Strong Correlated Electron Systems: Heavy Fermions; the 1-Dimensional Electron Gas235
Ch. 12High T[subscript c] Superconductivity259
App. 1Second Quantization for Fermions and Bosons283
App. 2Time Correlation Functions and Green's Functions290
Bibliography296
Historical Note on George Green309
Index312

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